Q: What are the factor combinations of the number 108,207,043?

 A:
Positive:   1 x 1082070437 x 1545814949 x 2208307401 x 2698432807 x 385495507 x 19649
Negative: -1 x -108207043-7 x -15458149-49 x -2208307-401 x -269843-2807 x -38549-5507 x -19649


How do I find the factor combinations of the number 108,207,043?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 108,207,043, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 108,207,043
-1 -108,207,043

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 108,207,043.

Example:
1 x 108,207,043 = 108,207,043
and
-1 x -108,207,043 = 108,207,043
Notice both answers equal 108,207,043

With that explanation out of the way, let's continue. Next, we take the number 108,207,043 and divide it by 2:

108,207,043 ÷ 2 = 54,103,521.5

If the quotient is a whole number, then 2 and 54,103,521.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 108,207,043
-1 -108,207,043

Now, we try dividing 108,207,043 by 3:

108,207,043 ÷ 3 = 36,069,014.3333

If the quotient is a whole number, then 3 and 36,069,014.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 108,207,043
-1 -108,207,043

Let's try dividing by 4:

108,207,043 ÷ 4 = 27,051,760.75

If the quotient is a whole number, then 4 and 27,051,760.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 108,207,043
-1 108,207,043
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17494012,8075,50719,64938,549269,8432,208,30715,458,149108,207,043
-1-7-49-401-2,807-5,507-19,649-38,549-269,843-2,208,307-15,458,149-108,207,043

More Examples

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